27_InstSolManual_PDF_Part12 - 27-12 Chapter 27 d 4.73 3...

(c)This is 63 times the U.S. yearly use. The energy cost of accelerating a rocket to these speeds is immense.27.49.Set Up:and Equation 27.24 says Solve: (a)says (b)so and If is neglected, the left side of Equa-tion 27.24 is and the right side is The percent difference is Reflect:The total energy of a particle increases without limit as 27.50.Set Up:The energy released is The change in gravitational potential energy is Solve: (a)(b)(c)27.51.Set Up:For an electron The classical expression for kinetic energy is Solve: (a)(b)gives Reflect:At a given speed the relativistic value of the kinetic energy is larger than the nonrelativistic value. There-fore, for a given kinetic energy the relativistic expression for kinetic energy gives a smaller speed than the nonrela-tivistic expression.27.52.Set Up:Kin electronvolts equals in volts. For an electron The classical expression for kinetic energy isSolve: (a)(b)E5K1mc251.603105eV15.123105eV56.723105eV50.672 MeVmc258.20310214J55.123105eV.

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